Publication: Bloch-like oscillations in a one-dimensional lattice with long-range correlated disorder
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2003-11-07
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American Physical Society
Abstract
We study the dynamics of an electron subjected to a uniform electric field within a tight-binding model with long-range-correlated diagonal disorder. The random distribution of site energies is assumed to have a power spectrum S(k)similar to1/k(alpha) with alpha>0. de Moura and Lyra [Phys. Rev. Lett. 81, 3735 (1998)10.1103/Phys. Rev. Lett.81.3735] predicted that this model supports a phase of delocalized states at the band center, separated from localized states by two mobility edges, provided alpha>2. We find clear signatures of Bloch-like oscillations of an initial Gaussian wave packet between the two mobility edges and determine the bandwidth of extended states, in perfect agreement with the zero-field prediction.
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© 2003 The American Physical Society.
V. A. M. acknowledges support from NATO. Work at Madrid was supported by DGI-MCyT (MAT2000-0734). Work at Brazil was supported by CNPq and CAPES (Brazilian research agencies) and FAPEAL (Alagoas State agency).
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